3.03 is what percent of 120.33 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 120.33 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 120.33, so we can write it down as 100%=120.33.
4. We know, that x% equals 3.03 of the output value, so we can write it down as x%=3.03.
5. Now we have two simple equations:
1) 100%=120.33
2) x%=3.03
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=120.33/3.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.03 is what percent of 120.33

100%/x%=120.33/3.03
(100/x)*x=(120.33/3.03)*x       - we multiply both sides of the equation by x
100=39.712871287129*x       - we divide both sides of the equation by (39.712871287129) to get x
100/39.712871287129=x
2.5180752929444=x
x=2.5180752929444

now we have:
3.03 is 2.5180752929444% of 120.33